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Finding the Third Proportional to 807,897 and 1,196,223

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Solution

The third proportional to 807,897 and 1,196,223 is: 1,771,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,897 : 1,196,223 = 1,196,223 : x
  2. Step 2: Convert to fraction form
    807,897/1,196,223 = 1,196,223/x
  3. Step 3: Cross multiply
    807,897x = 1,196,223 × 1,196,223
  4. Step 4: Simplify right side
    807,897x = 1,430,949,465,729
  5. Step 5: Solve for x
    x = 1,430,949,465,729/807,897
  6. Step 6: Final answer
    x = 1,771,202.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.